Computational Statistics Project
Department of Economics, Vienna University of Economics and Business (WU Vienna)
May 27, 2025
A Markov chain is a stochastic process \(\{X_t\}\) indexed by time \(t\geq 0\).
Markov Chain Monte Carlo (MCMC) methods make use of Markov chains to sample from a target distribution.
Markov chains are
For such Markov Chains, transition probabilities converge to a unique stationary distribution on the state space.
Metropolis-Hastings is a class of MCMC methods.
Hamiltonian Monte Carlo
Imagine a frictionless puck on a non-even surface. The state of this system is given by
In non-physical applications,
Neal (2012)
The No-U-Turn-Sampler (NUTS)
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